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Finding the Third Proportional to 25,288 and 55,545

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Solution

The third proportional to 25,288 and 55,545 is: 122,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,288 : 55,545 = 55,545 : x
  2. Step 2: Convert to fraction form
    25,288/55,545 = 55,545/x
  3. Step 3: Cross multiply
    25,288x = 55,545 × 55,545
  4. Step 4: Simplify right side
    25,288x = 3,085,247,025
  5. Step 5: Solve for x
    x = 3,085,247,025/25,288
  6. Step 6: Final answer
    x = 122,004.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.